Before the distribution of certain statistical software, every fourth compact disk (CD) is tested for accuracy. The testing process consists of running four independent programs and checking the results. The failure rates for the four testing programs are, respectively, 0.01, 0.03, 0.02 and 0.01. (a) What is the probability that a CD was tested and failed any test? (b) Given that a CD was tested, what is the probability that it failed program program 2 or 3? (c) In a sample of 100, how many CDs would you expect to be rejected? (d) Given that a CD was defective, what is the probability that it was tested?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Before the distribution of certain statistical software, every fourth compact disk (CD) is tested for accuracy. The
testing process consists of running four independent programs and checking the results. The failure rates for the
four testing programs are, respectively, 0.01, 0.03, 0.02 and 0.01.
(a) What is the probability that a CD was tested and failed any test?
(b) Given that a CD was tested, what is the probability that it failed program program 2 or 3?
(c) In a sample of 100, how many CDs would you expect to be rejected?
(d) Given that a CD was defective, what is the probability that it was tested?
Transcribed Image Text:Before the distribution of certain statistical software, every fourth compact disk (CD) is tested for accuracy. The testing process consists of running four independent programs and checking the results. The failure rates for the four testing programs are, respectively, 0.01, 0.03, 0.02 and 0.01. (a) What is the probability that a CD was tested and failed any test? (b) Given that a CD was tested, what is the probability that it failed program program 2 or 3? (c) In a sample of 100, how many CDs would you expect to be rejected? (d) Given that a CD was defective, what is the probability that it was tested?
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